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Simplifying 8(x + -2) = 4(x + -4) Reorder the terms: 8(-2 + x) = 4(x + -4) (-2 * 8 + x * 8) = 4(x + -4) (-16 + 8x) = 4(x + -4) Reorder the terms: -16 + 8x = 4(-4 + x) -16 + 8x = (-4 * 4 + x * 4) -16 + 8x = (-16 + 4x) Add '16' to each side of the equation. -16 + 16 + 8x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 0 + 8x = -16 + 16 + 4x 8x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 8x = 0 + 4x 8x = 4x Solving 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x 4x = 4x + -4x Combine like terms: 4x + -4x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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